How many positive integers with 6 or less digits are odd or divisible by 5 and do not contain any repeated digits? Leading 0's are also not allowed.

Q: Explain why, in any set of 11 positive integers, some two integers must have the same I's digit.

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Q: Arrange the digits 0,0,2,2,3,5,7,8,9 to make a 9-digit number that is divisible by…

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Q: How many 6-digit positive integers are divisible by 3 but not by 9 or by 10?

A: Sol:- For a number to be divisible by 3, the sum of its digits must be divisible by 3. Let's…

Q: How many six-digit even numbers are possible if the leftmost digit cannot be​ zero?

A: From the given information,Sample space = {0,1,2,3,4,5,6,7,8,9}It has been given that the leftmost…

Q: How many zeros does 25! end with?

A: A number will have trailing zeros when 5 and at least one even number are factors of it.   Also, the…

Q: What number has a remainder of 2 when divided by 3, a remainder of 3 when divided by 5 and a…

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Q: Find the number of 3-digit integers that are not divisible by 4, 5, or 6.

A: Find: The aim is to find a three digit number that are not divisible by 4,5, or 6.. Concept: The…

Q: The number 6545 can be written as a product of a pair of positive two-digit numbers, what are these…

A: solution:-The given number =65456545=5×7×11×17the two numbers are two digit numberthenthe number…

Q: How many five​-digit even numbers are possible if the leftmost digit cannot be​ zero?

A: To count the number of 5 digit integers satisfying the given conditions

Q: How many positive integers less than 1,000,000 have a digit sum of 5?

A: We have to find the number of positive integers 1,000,000 have a digit sum of 5. The number less…

Q: let a,b,c,d,e and f be different positive integers so that a² - b² = c² - d² = e² - f² = 63. Value a…

A: Given:- a,b,c,d,e and f are different positive integers.  also a2-b2=c2-d2=e2-f2=63. To find :- the…

Q: The pattern​ 1, 8,​ 27, 64,​ 125, ... is a cubic pattern, what is the greatest number in this…

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Q: How many integers between 1 and 822 inclusive are divisible by 5 or 3?

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Q: How many 5–digit (decimal) integers are there with none of the digits repeated?

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